STATISTICS: MEDIAN 2(LECTURE 6)

 Empirical Relation Between Mean, Median And Mode (Median 2)


Dear Students,
Good Morning Everyone!!

In the previous class we covered the following learning outcomes:

  • How to find the median  of grouped/ungrouped data by using  formula.
Let us go through the guidelines for the  blog once again:
•              The text in Red, is to be written in your register
•              The text in blue is to be viewed by clicking on it
•              The text in green is to be practiced for home work

            1.    Take your SET-A mathematics register.
 2.     Our handwriting reflects a lot about us. It will be awesome if you use good presentation and cursive hand writing
 3.     Make a column on the right hand side, if you need to do any rough work

4.     Write today's date on the line after that. We need to save paper. 

   Let us recall:

What is median?

Formula for finding the median of grouped data

 Please write the learning outcomes as mentioned below:

Today  I will be able to apply the empirical relationship between the three measures of central tendency. 
How to calculate the frequency of a class interval if the median of the data is given. 

Let us do this example:(Do it in the register)




Class work questions

Q 1. The median of the following frequency distribution is 35. Find the value of x . Also find the modal class.


C.I.
f
0-10
2
10-20
3
20-30
X
30-40
6
40-50
5
50-60
3
60-70
2

Q 2. The following table gives the frequency distribution of married women by age at marriage.  calculate the median of the given data.



AGE (IN YEARS)
FREQUENCY
15-19
53
20-24
140
25-29
98
30-34
32
35-39
12


Note: The data needs to be converted to continuous classes for finding the median, since the formula assumes continuous classes.



 Empirical Relation Between Mean, Median And Mode

A distribution in which the values of mean, median and mode coincide (i.e. mean = median = mode) is known as a symmetrical distribution. Conversely, when values of mean, median and mode are not equal the distribution is known as asymmetrical or skewed distribution. In moderately skewed or asymmetrical distribution a very important relationship exists among these three measures of central tendency. In such distributions the distance between the mean and median is about one-third of the distance between the mean and mode Mode = mean - 3 [mean - median]
Mode = 3 median - 2 mean

and Median = mode + 


Knowing any two values, the third can be computed.

Example
Given median = 20.6, mode = 26 Find mean.
Solution:

HOMEWORK: Complete exercise 14.3
    
AQAD

Q. Look at the following table below.
cbse board class 10 maths chapter 14 1
The value of A & and B respectively are:
a. 3,8
b. 2,7
c. 3,7
d. 2.5, 7.5




Comments

  1. Good morning Ma'am
    Aaron De Menezes
    10-B

    ReplyDelete
  2. good morning ma'am
    yashvardhan chaudhary 10b

    ReplyDelete
  3. Good morning ma'am
    Sharad dubey
    10b

    ReplyDelete
  4. Good morning ma'am
    Daksh Mahajan
    10-B

    ReplyDelete
  5. good morning ma'am
    krrish wadhawan
    10-B

    ReplyDelete
  6. Good morning ma'am
    Jason Kandir
    10 B

    Ans: AQAD
    D) 2.5, 7.5

    ReplyDelete
  7. Good morning Ma'am
    Kevin Toppo
    10-B

    ReplyDelete
  8. good morning
    michael hyam
    10 b
    ans=d

    ReplyDelete
  9. good morning mam
    anugrah singh
    10 b
    ans-d)

    ReplyDelete
  10. Good morning mam
    BOAZ LEPCHA
    10 B

    ReplyDelete
  11. Good morning mam
    Yashvardhan Singh
    10B

    ReplyDelete
  12. GOOD MORNING MA'AM
    NAMAN MEHTA 10-B

    ReplyDelete
  13. Ma'am in the first question of class work, how to find n/2 w/o the total frequency given?

    ReplyDelete
  14. Good Morning maam
    Aniket Sharma

    ReplyDelete
  15. Good morning ma’am
    Joe Mathew
    X-B

    ReplyDelete
  16. Ma’am in the first CW question, what is the total frequency?

    ReplyDelete
  17. Total frequency is not required to answer this qn, if not take it as 30.

    ReplyDelete
  18. good morning ma'am
    ibrahim farooqui
    10-B

    ReplyDelete
  19. Good morning mam .
    -Mohit Gogia 10-B

    ReplyDelete
  20. Good morning ma'am
    Sanyam S Sahoo
    10B

    ReplyDelete
  21. Ma'am how is it possible that we can find the solution of CW question 1 without knowing the value of n?

    ReplyDelete
  22. Good evening mam.. OANGSANG 😉

    ReplyDelete

Post a Comment

Popular posts from this blog

STATISTICS: MEDIAN 1(LECTURE 5)

STATISTICS (LECTURE 7)